Answer
(a) $\langle -4,-2 \rangle$
(b) $\langle -13, 4 \rangle$
(c) $\langle 3,5 \rangle$
Work Step by Step
$U=\langle -2,-1 \rangle$
$V=\langle -3,2 \rangle$
(a)
$2U=2\times$$\langle -2,-1 \rangle$
$2U=\langle -4,-2 \rangle$
(b)
$2U+3V=2\times$ $\langle -2,-1 \rangle$+3 $\times $ $\langle -3,2 \rangle$
$2U+3V= \langle -4,-2 \rangle$+ $\langle -9,6 \rangle$
$2U+3V= \langle -4-9, -2+6 \rangle$
$2U+3V= \langle -13, 4 \rangle$
(c)
$V-3U=\langle -3,2 \rangle$-$3\times$ $\langle -2,-1 \rangle$
$V-3U=\langle -3,2 \rangle$- $\langle -6,-3 \rangle$
$V-3U=\langle -3+6,2+3 \rangle$
$V-3U=\langle 3,5 \rangle$
